Given numbers are 412,409,104,442

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 412,409,104,442 is 74480536.

Find LCM of 412,409,104,442 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 13 x 103 x 409 x 2 x 17 = 74480536

Therefore, the lowest common multiple of 412,409,104,442 is 74480536.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

412 x 409 x 104 x 442 = 7745975744

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

412 : 1, 2, 4, 103, 206, 412

409 : 1, 409

104 : 1, 2, 4, 8, 13, 26, 52, 104

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,409,104,442, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

409:409

104:2x 2x 2x 13

442:2x 13x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 13 = 104

Therefore, the value for common factors is 104.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 7745975744/(1x104)

LCM = 7745975744/104

LCM = 74480536

Thus, we can understand that the LCM of 412,409,104,442 is 74480536.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 320, 501, 606, 558
• LCM of 146, 702, 914, 400
• LCM of 892, 526, 105, 394
• LCM of 514, 832, 751, 991
• LCM of 833, 455, 749, 505

1. What is the LCM of 412, 409, 104, 442?

Answer: LCM of 412, 409, 104, 442 is 74480536.

2. How to calculate the LCM of 412, 409, 104, 442?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 412, 409, 104, 442.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.